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Physics for Scientists and Engineers: Foundations and Connections
- A 5.00-nC charged particle is at point B in a uniform electric field with a magnitude of 625 N/C (Fig. P26.65). What is the change in electric potential experienced by the charge if it is moved from B to A along a. path 1 and b. path 2?arrow_forwardA uniformly charged ring with total charge q = 3.00 C and radius R = 10.0 cm is placed with its center at the origin and oriented in the xy plane. What is the difference between the electric potential at the origin and the electric potential at the point (0, 0, 30.0 cm)?arrow_forwardA charged particle is moved in a uniform electric field between two points, A and B, as depicted in Figure P26.65. Does the change in the electric potential or the change in the electric potential energy of the particle depend on the sign of the charged particle? Consider the movement of the particle from A to B, and vice versa, and determine the signs of the electric potential and the electric potential energy in each possible scenario.arrow_forward
- The electric potential is given by V = 4x2z + 2xy2 8yz2 in a region of space, with x, y, and z in meters and V in volts. a. What are the x, y, and z components of the electric field in this region? b. What is the magnitude of the electric field at the coordinates (2.00 m, 2.00 m, 1.00 m)?arrow_forwardA very large sheet of insulating material has had an excess of electrons placed on it to a surface charge density of 3.00nC/m2 . (a) As the distance from the sheet increases, does the potential increase or decrease? Can you explain why without any calculations? Does the location of your reference point matter? (b) What is the shape of the equipotential surfaces? (c) What is the spacing between surfaces that differ by 1.00 V?arrow_forward(a) A sphere has a surface uniformly charged with 1.00 C. At what distance from its center is the potential 5.00 MV? (b) What does your answer imply about the practical aspect of isolating such a large charge?arrow_forward
- A line of charge with uniform charge density = 2.00 103 C/m lies along the x axis from x = 0.250 m to x = 0.250 m. a. What is the magnitude of the electric potential at (0, 1.000 m)? b. How much work is necessary to move a particle with a charge of 5.00 nC from very far away to (0, 1.000 m)?arrow_forwardA very large disk lies horizontally and has surface charge density = 2.3 nC/m2. An electron is released at the surface. (It begins from rest and moves vertically upward.) Ignoring gravity, find the speed of the electron when it is 1.0 mm above the disk.arrow_forwardTwo 5.00-nC charged particles are in a uniform electric field with a magnitude of 625 N/C. Each of the particles is moved from point A to point B along two different paths, labeled in Figure P26.65. a. Given the dimensions in the figure, what is the change in the electric potential experienced by the particle that is moved along path 1 (black)? b. What is the change in the electric potential experienced by the particle that is moved along path 2 (red)? c. Is there a path between the points A and B for which the change in the electric potential is different from your answers to parts (a) and (b)? Explain. FIGURE P26.65 Problems 65, 66, and 67.arrow_forward
- A particle with charge +q is at the origin. A particle with charge 2q is at x = 2.00 m on the x axis. (a) For what finite value(s) of x is the electric field zero? (b) For what finite value(s) of x is the electric potential zero?arrow_forwardTwo charged particles with q1 = 5.00 C and q2 = 3.00 C are placed at two vertices of an equilateral tetrahedron whose edges all have length s = 4.20 m (Fig. P26.37). Determine what charge q3 should be placed at the third vertex so that the total electric potential at the fourth vertex is 2.00 kV. FIGURE P26.37arrow_forwardFind the electric potential at the origin given the arrangement of charged particles shown in Figure P26.7. FIGURE P26.7 Problems 7 and 28.arrow_forward
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